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polet [3.4K]
3 years ago
7

Please solve ASAP, 3k+16=9+6x? and show ur work please?​

Mathematics
1 answer:
denis23 [38]3 years ago
7 0

Answer:

\Large \boxed{k=2x + \frac{-7}{3}} \\ \\ \\ \Large \boxed{x=\frac{1}{2} k+\frac{7}{6}}

Step-by-step explanation:

Solving for k:

\sf 3k+16=9+6x

Subtracting 16 from both sides.

\sf 3k=6x-7

Dividing both sides by 3.

\displaystyle \sf k=2x + \frac{-7}{3}

Solving for x:

Flipping the original equation.

\sf 6x+9=3k+16

Subtracting 9 from both sides.

\sf 6x=3k+7

Dividing both sides by 6.

\sf \displaystyle x=\frac{1}{2} k+\frac{7}{6}

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Use graph to answer question
slamgirl [31]

Answer:

cos(θ) = 3/5

Step-by-step explanation:

We can think of this situation as a triangle rectangle (you can see it in the image below).

Here, we have a triangle rectangle with an angle θ, such that the adjacent cathetus to θ is 3 units long, and the cathetus opposite to θ is 4 units long.

Here we want to find cos(θ).

You should remember:

cos(θ) = (adjacent cathetus)/(hypotenuse)

We already know that the adjacent cathetus is equal to 3.

And for the hypotenuse, we can use the Pythagorean's theorem, which says that the sum of the squares of the cathetus is equal to the square of the hypotenuse, this is:

3^2 + 4^2 = H^2

We can solve this for H, to get:

H = √( 3^2 + 4^2) = √(9 + 16) = √25 = 5

The hypotenuse is 5 units long.

Then we have:

cos(θ) = (adjacent cathetus)/(hypotenuse)

cos(θ) = 3/5

5 0
3 years ago
Election day is less than a month away, and political analysts are focused on the races for two statewide political offices. Acc
ExtremeBDS [4]

Answer:

0.1961

Step-by-step explanation:

Since these two probabilities are independent of each other, we can simply multiply them.

The probability that a voter will support the Democratic candidate for governor is 0.53.

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This makes the probability that a voter supports both Democratic candidates 0.53(0.37) = 0.1961.

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3 years ago
What is the value of the discriminant for x2 + 5x = -7?​
Verdich [7]

Answer:

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Step-by-step explanation:

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2 years ago
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patriot [66]

By looking at it, I can tell the second expression is greater due to a a large postive number that's being added to it. Let's solve.

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So, -34-3+39 is greater.

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3 years ago
A pet supply store sells a 20-pound bag of dog food $23.44. find the unit price what is the error of 20 divided by 23.44=.85
dimulka [17.4K]
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20 / 23.44 = 0.85....this is lbs per dollar....this is telling u that u r getting 0.85 lbs for a dollar
4 0
3 years ago
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